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Finding the Fourth Proportional to 184.52, 277.88 and 160.76

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Solution

The fourth proportional to 184.52, 277.88 and 160.76 is: 242.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.52 : 277.88 = 160.76 : x
  2. Step 2: Convert to fraction form
    184.52/277.88 = 160.76/x
  3. Step 3: Cross multiply
    184.52x = 277.88 × 160.76
  4. Step 4: Simplify right side
    184.52x = 44,671.99
  5. Step 5: Solve for x
    x = 44,671.99/184.52
  6. Step 6: Final answer
    x = 242.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.